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IMCS/Publications/QRS/Issues/QRS v.20, n.2 (28), 2012/

D-loops

Authors: I. I. Deriyenko, W. A. Dudek

Abstract

D-loops are loops with the antiautomorphic inverse property. The class of such loops is larger than the class of IP-loops. The smallest D-loops which is not an IP-loop has six elements. We prove several basic properties of such loops and present methods of constructions of D-loops from IP-loops. Unfortunately, a loop isotopic to a D-loop may not be a D-loop.




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